{"id":2651,"date":"2024-03-05T15:36:22","date_gmt":"2024-03-05T15:36:22","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=2651"},"modified":"2024-03-05T15:36:22","modified_gmt":"2024-03-05T15:36:22","slug":"the-average-of-five-numbers-is-8-and-the-average-of-the-last-three-number-is-then-the-average-of-first-two-numbers-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-five-numbers-is-8-and-the-average-of-the-last-three-number-is-then-the-average-of-first-two-numbers-is\/","title":{"rendered":"The average of five numbers is 8 and the average of the last three number is Then the average of first two numbers is"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;7&#8243; option2=&#8221;9&#8243; option3=&#8221;11&#8243; option4=&#8221;14&#8243; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is (a) 7.<\/p>\n<p>Let $x_1, x_2, x_3, x_4, x_5$ be the five numbers. We know that the average of these numbers is 8, so $x_1 + x_2 + x_3 + x_4 + x_5 = 40$. We also know that the average of the last three numbers is 10, so $x_3 + x_4 + x_5 = 30$. Substituting this into the first equation, we get $x_1 + x_2 + 30 = 40$. Solving for $x_1 + x_2$, we get $x_1 + x_2 = 10$. Therefore, the average of the first two numbers is $\\frac{x_1 + x_2}{2} = \\boxed{7}$.<\/p>\n<p>Option (b) is incorrect because $9$ is not the average of the first two numbers. Option (c) is incorrect because $11$ is not the average of the first two numbers. Option (d) is incorrect because $14$ is not the average of the first two numbers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;7&#8243; option2=&#8221;9&#8243; option3=&#8221;11&#8243; option4=&#8221;14&#8243; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[33],"tags":[],"class_list":["post-2651","post","type-post","status-publish","format-standard","hentry","category-algebra","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The average of five numbers is 8 and the average of the last three number is Then the average of first two numbers is<\/title>\n<meta name=\"description\" content=\"Let $x_1, x_2, x_3, x_4, x_5$ be the five numbers. We know that the average of these numbers is 8, so $x_1 + x_2 + x_3 + x_4 + x_5 = 40$. We also know that the average of the last three numbers is 10, so $x_3 + x_4 + x_5 = 30$. Substituting this into the first equation, we get $x_1 + x_2 + 30 = 40$. Solving for $x_1 + x_2$, we get $x_1 + x_2 = 10$. Therefore, the average of the first two numbers is $frac{x_1 + x_2}{2} = boxed{7}$.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-five-numbers-is-8-and-the-average-of-the-last-three-number-is-then-the-average-of-first-two-numbers-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The average of five numbers is 8 and the average of the last three number is Then the average of first two numbers is\" \/>\n<meta property=\"og:description\" content=\"Let $x_1, x_2, x_3, x_4, x_5$ be the five numbers. We know that the average of these numbers is 8, so $x_1 + x_2 + x_3 + x_4 + x_5 = 40$. We also know that the average of the last three numbers is 10, so $x_3 + x_4 + x_5 = 30$. Substituting this into the first equation, we get $x_1 + x_2 + 30 = 40$. Solving for $x_1 + x_2$, we get $x_1 + x_2 = 10$. Therefore, the average of the first two numbers is $frac{x_1 + x_2}{2} = boxed{7}$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-five-numbers-is-8-and-the-average-of-the-last-three-number-is-then-the-average-of-first-two-numbers-is\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T15:36:22+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"The average of five numbers is 8 and the average of the last three number is Then the average of first two numbers is","description":"Let $x_1, x_2, x_3, x_4, x_5$ be the five numbers. We know that the average of these numbers is 8, so $x_1 + x_2 + x_3 + x_4 + x_5 = 40$. We also know that the average of the last three numbers is 10, so $x_3 + x_4 + x_5 = 30$. Substituting this into the first equation, we get $x_1 + x_2 + 30 = 40$. Solving for $x_1 + x_2$, we get $x_1 + x_2 = 10$. Therefore, the average of the first two numbers is $frac{x_1 + x_2}{2} = boxed{7}$.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-five-numbers-is-8-and-the-average-of-the-last-three-number-is-then-the-average-of-first-two-numbers-is\/","og_locale":"en_US","og_type":"article","og_title":"The average of five numbers is 8 and the average of the last three number is Then the average of first two numbers is","og_description":"Let $x_1, x_2, x_3, x_4, x_5$ be the five numbers. We know that the average of these numbers is 8, so $x_1 + x_2 + x_3 + x_4 + x_5 = 40$. We also know that the average of the last three numbers is 10, so $x_3 + x_4 + x_5 = 30$. Substituting this into the first equation, we get $x_1 + x_2 + 30 = 40$. Solving for $x_1 + x_2$, we get $x_1 + x_2 = 10$. Therefore, the average of the first two numbers is $frac{x_1 + x_2}{2} = boxed{7}$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-five-numbers-is-8-and-the-average-of-the-last-three-number-is-then-the-average-of-first-two-numbers-is\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T15:36:22+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-five-numbers-is-8-and-the-average-of-the-last-three-number-is-then-the-average-of-first-two-numbers-is\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-five-numbers-is-8-and-the-average-of-the-last-three-number-is-then-the-average-of-first-two-numbers-is\/","name":"The average of five numbers is 8 and the average of the last three number is Then the average of first two numbers is","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T15:36:22+00:00","dateModified":"2024-03-05T15:36:22+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let $x_1, x_2, x_3, x_4, x_5$ be the five numbers. We know that the average of these numbers is 8, so $x_1 + x_2 + x_3 + x_4 + x_5 = 40$. We also know that the average of the last three numbers is 10, so $x_3 + x_4 + x_5 = 30$. Substituting this into the first equation, we get $x_1 + x_2 + 30 = 40$. Solving for $x_1 + x_2$, we get $x_1 + x_2 = 10$. Therefore, the average of the first two numbers is $\\frac{x_1 + x_2}{2} = \\boxed{7}$.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-five-numbers-is-8-and-the-average-of-the-last-three-number-is-then-the-average-of-first-two-numbers-is\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-average-of-five-numbers-is-8-and-the-average-of-the-last-three-number-is-then-the-average-of-first-two-numbers-is\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-average-of-five-numbers-is-8-and-the-average-of-the-last-three-number-is-then-the-average-of-first-two-numbers-is\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Algebra","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/algebra\/"},{"@type":"ListItem","position":4,"name":"The average of five numbers is 8 and the average of the last three number is Then the average of first two numbers is"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/2651","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=2651"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/2651\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=2651"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=2651"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=2651"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}